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Simplifying 12 + 4(2 + -3) = -5z + 4 Combine like terms: 2 + -3 = -1 12 + 4(-1) = -5z + 4 Multiply 4 * -1 12 + -4 = -5z + 4 Combine like terms: 12 + -4 = 8 8 = -5z + 4 Reorder the terms: 8 = 4 + -5z Solving 8 = 4 + -5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '5z' to each side of the equation. 8 + 5z = 4 + -5z + 5z Combine like terms: -5z + 5z = 0 8 + 5z = 4 + 0 8 + 5z = 4 Add '-8' to each side of the equation. 8 + -8 + 5z = 4 + -8 Combine like terms: 8 + -8 = 0 0 + 5z = 4 + -8 5z = 4 + -8 Combine like terms: 4 + -8 = -4 5z = -4 Divide each side by '5'. z = -0.8 Simplifying z = -0.8
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